Highest Common Factor of 6572, 9491 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6572, 9491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6572, 9491 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6572, 9491 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6572, 9491 is 1.
HCF(6572, 9491) = 1
HCF of 6572, 9491 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6572, 9491 is 1.
Highest Common Factor of 6572,9491 is 1
Step 1: Since 9491 > 6572, we apply the division lemma to 9491 and 6572, to get
9491 = 6572 x 1 + 2919
Step 2: Since the reminder 6572 ≠ 0, we apply division lemma to 2919 and 6572, to get
6572 = 2919 x 2 + 734
Step 3: We consider the new divisor 2919 and the new remainder 734, and apply the division lemma to get
2919 = 734 x 3 + 717
We consider the new divisor 734 and the new remainder 717,and apply the division lemma to get
734 = 717 x 1 + 17
We consider the new divisor 717 and the new remainder 17,and apply the division lemma to get
717 = 17 x 42 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6572 and 9491 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(717,17) = HCF(734,717) = HCF(2919,734) = HCF(6572,2919) = HCF(9491,6572) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6572, 9491 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6572, 9491?
Answer: HCF of 6572, 9491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6572, 9491 using Euclid's Algorithm?
Answer: For arbitrary numbers 6572, 9491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.